Technical communique: New stability criteria for linear systems with interval time-varying delay
Technical communique: New stability criteria for linear systems with interval time-varying delay
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DOI：
10.1016/j.automatica.2008.02.020
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发表时间：
2008-10
期刊：
影响因子：
6.4
通讯作者：
Xiefu Jiang;Q. Han
中科院分区：
文献类型：
--
作者：
Xiefu Jiang;Q. Han
研究了具有区间时变时滞的不确定线性系统的鲁棒稳定性。时变时滞被假定为属于一个区间，是一个快速时变函数。所考虑的不确定性包括多面体型不确定性和线性分式范数有界不确定性。提出了一种新的Lyapunov-Krasovskii泛函，该泛函利用了区间时变时滞的上下界信息，从而得到了一些新的时滞相关稳定性判据.为了得到更小的保守性结果，对某些项估计了更紧的边界。此外，没有多余的矩阵变量的引入。最后，通过三个数值算例验证了所提出的稳定性判据的有效性.
This paper investigates robust stability of uncertain linear systems with interval time-varying delay. The time-varying delay is assumed to belong to an interval and is a fast time-varying function. The uncertainty under consideration includes polytopic-type uncertainty and linear fractional norm-bounded uncertainty. A new Lyapunov–Krasovskii functional, which makes use of the information of both the lower and upper bounds of the interval time-varying delay, is proposed to drive some new delay-dependent stability criteria. In order to obtain much less conservative results, a tighter bounding for some term is estimated. Moreover, no redundant matrix variable is introduced. Finally, three numerical examples are given to show the effectiveness of the proposed stability criteria.